A new wavelet preconditioner for finite difference operators |
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| Authors: | Anne-Sophie?Piquemal mailto:piquemal@imati.cnr.it" title=" piquemal@imati.cnr.it" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Jacques?Liandrat |
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| Affiliation: | (1) IMATI, CNR, Via Ferrata 1, 27100 Pavia, Italy;(2) LATP-ESM2, 38 Rue F.J.-Curie, 13451 Marseille Cedex 20, France |
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| Abstract: | ![]()
This paper is devoted to the construction of a new multilevel preconditioner for operators discretized using finite differences. It uses the basic ingredients of a multiscale construction of the inverse of a variable coefficient elliptic differential operator derived by Tchamitchian [19]. It can be implemented fast and can therefore be easily incorporated in finite difference solvers for elliptic PDEs. Theoretical results, as well as numerical tests and implementation technical details are presented.This work has been partially supported by TMR Research Network Contract FMRX-CT98-0184.AMS subject classification 00A69, 65T60, 65Y99, 15A12 |
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| Keywords: | elliptic partial differential equation finite difference approach wavelet methods multilevel preconditioning |
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